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1010468603744 = 251716311395577
BaseRepresentation
bin11101011010001001001…
…11110100011101100000
310120121012021221121002122
432231010213310131200
5113023414430304434
62052111453003412
7133001232262445
oct16550447643540
93517167847078
101010468603744
1135a5a0202926
12143a03a83568
1374396097722
1436c9a90b9cc
151b440839c2e
hexeb449f4760

1010468603744 has 48 divisors (see below), whose sum is σ = 2119304014128. Its totient is φ = 472597327872.

The previous prime is 1010468603737. The next prime is 1010468603747. The reversal of 1010468603744 is 4473068640101.

1010468603744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010468603695 and 1010468603704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010468603747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5609117 + ... + 5786460.

It is an arithmetic number, because the mean of its divisors is an integer number (44152166961).

Almost surely, 21010468603744 is an apocalyptic number.

It is an amenable number.

1010468603744 is an abundant number, since it is smaller than the sum of its proper divisors (1108835410384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010468603744 is a wasteful number, since it uses less digits than its factorization.

1010468603744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11395767 (or 11395759 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 1010468603744 in words is "one trillion, ten billion, four hundred sixty-eight million, six hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 163 272 326 544 652 1304 2608 2771 5216 5542 11084 22168 44336 88672 11395577 22791154 45582308 91164616 182329232 193724809 364658464 387449618 774899236 1549798472 1857479051 3099596944 3714958102 6199193888 7429916204 14859832408 29719664816 31577143867 59439329632 63154287734 126308575468 252617150936 505234301872 1010468603744